Least Common Multiple of 7948 and 7952

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7948 and 7952 the smallest integer that is 15800624 that is divisible by both numbers.

Least Common Multiple (LCM) of 7948 and 7952 is 15800624.

LCM(7948,7952) = 15800624

LCM of 7948 and 7952

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 7948 and 7952

LCM of 7948 and 7952 is 15800624

Least common multiple can be found by multiplying the highest exponent prime factors of 7948 and 7952. First we will calculate the prime factors of 7948 and 7952.

Prime Factorization of 7948


2 7948
2 3974
1987 1987
1

Prime factors of 7948 are 2,1987. Prime factorization of 7948 in exponential form is:

7948 = 22×19871

Prime Factorization of 7952


2 7952
2 3976
2 1988
2 994
7 497
71 71
1

Prime factors of 7952 are 2, 7,71. Prime factorization of 7952 in exponential form is:

7952 = 24×71×711

Now multiplying the highest exponent prime factors to calculate the LCM of 7948 and 7952.

LCM(7948,7952) = 24×71×711×19871
LCM(7948,7952) = 15800624

Factors of 7948

List of positive integer factors of 7948 that divides 7948 without a remainder.

1, 2, 4, 1987, 3974, 7948

Factors of 7952

List of positive integer factors of 7952 that divides 7952 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 71, 112, 142, 284, 497, 568, 994, 1136, 1988, 3976, 7952

Least Common Multiple of 7948 and 7952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7948 and 7952, than apply into the LCM equation.

GCF(7948,7952) = 4
LCM(7948,7952) = ( 7948 × 7952) / 4
LCM(7948,7952) = 63202496 / 4
LCM(7948,7952) = 15800624

Properties of LCM 7948 and 7952

(i) The LCM of 7952 and 7948 is associative

LCM of 7948 and 7952 = LCM of 7952 and 7948

Related Least Common Multiples of 7948

Related Least Common Multiples of 7952

Frequently Asked Questions on LCM of 7948 and 7952

1. What is the LCM of 7948 and 7952?

Answer: LCM of 7948 and 7952 is 15800624.

2. What are the Factors of 7948?

Answer: Factors of 7948 are 1, 2, 4, 1987, 3974, 7948. There are 6 integers that are factors of 7948. The greatest factor of 7948 is 7948.

3. What are the Factors of 7952?

Answer: Factors of 7952 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 71, 112, 142, 284, 497, 568, 994, 1136, 1988, 3976, 7952. There are 20 integers that are factors of 7952. The greatest factor of 7952 is 7952.

4. How to Find the LCM of 7948 and 7952?

Answer:

Least Common Multiple of 7948 and 7952 = 15800624

Step 1: Find the prime factorization of 7948

7948 = 2 x 2 x 1987

Step 2: Find the prime factorization of 7952

7952 = 2 x 2 x 2 x 2 x 7 x 71

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 15800624 = 2 x 2 x 2 x 2 x 7 x 71 x 1987

Step 4: Therefore, the least common multiple of 7948 and 7952 is 15800624.